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EJC
2000
14 years 9 months ago
Cyclic Polytopes and Oriented Matroids
Consider the moment curve in the real Euclidean space Rd defined parametrically by the map : R Rd , t (t) = (t, t2 , . . . , td ). The cyclic d-polytope Cd(t1, . . . , tn) is t...
Raul Cordovil, Pierre Duchet
EJC
2002
14 years 9 months ago
Bases in Orlik-Solomon Type Algebras
The Orlik-Solomon algebra of a matroid M is the quotient of the exterior algebra on the points by the ideal (M) generated by the boundaries of the circuits of the matroid. There i...
David Forge
EJC
2010
14 years 9 months ago
Partitions versus sets: A case of duality
In a recent paper, Amini et al. introduced a general framework to prove duality theorems between tree decompositions and their dual combinatorial object. They unify all known ad-h...
Laurent Lyaudet, Frédéric Mazoit, St...
EJC
2002
14 years 9 months ago
Homology of Newtonian Coalgebras
Given a Newtonian coalgebra we associate to it a chain complex. The homology groups of this Newtonian chain complex are computed for two important Newtonian coalgebras arising in ...
Richard Ehrenborg, Margaret Readdy
EJC
2008
14 years 9 months ago
On Postnikov's hook length formula for binary trees
We present a combinatorial proof of Postnikov's hook length formula for binary trees. c 2007 Elsevier Ltd. All rights reserved. Let [n] = {1, 2, . . . , n}. It is well known ...
William Y. C. Chen, Laura L. M. Yang